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Finding the Fourth Proportional to 489.32, 733.80 and 412.82

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Solution

The fourth proportional to 489.32, 733.80 and 412.82 is: 619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.32 : 733.80 = 412.82 : x
  2. Step 2: Convert to fraction form
    489.32/733.80 = 412.82/x
  3. Step 3: Cross multiply
    489.32x = 733.80 × 412.82
  4. Step 4: Simplify right side
    489.32x = 302,927.32
  5. Step 5: Solve for x
    x = 302,927.32/489.32
  6. Step 6: Final answer
    x = 619.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.